Getting even with CLE - INSPIRE

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Getting even with CLE

Gert Aarts
(
- Swansea U.
)
,
Kirill Boguslavski
(
- Jyvaskyla U.
)
,
Manuel Scherzer
(
- U. Heidelberg, ITP
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Dénes Sexty
(
- Bergische U., Wuppertal (main)
)

Oct 16, 2017

8 pages

Part of Proceedings, 35th International Symposium on Lattice Field Theory (Lattice 2017) : Granada, Spain, June 18-24, 2017

Published in:

EPJ Web Conf. 175 (2018) 14007

Contribution to:

- Lattice 2017

Published: 2018

e-Print:

1710.05699 [hep-lat]

DOI:

10.1051/epjconf/201817514007

View in:

ADS Abstract Service

reference search11 citations

Citations per year

Abstract: (EDP Sciences)

In the landscape of approaches toward the simulation of Lattice Models with complex action the Complex Langevin (CL) appears as a straightforward method with a simple, well defined setup. Its applicability, however, is controlled by certain specific conditions which are not always satisfied. We here discuss the procedures to meet these conditions and the estimation of systematic errors and present some actual achievements.* Acknowledges financial support from STFC, the Royal Society and the Wolfson Foundation.** Acknowledges finacial support from the European Research Council under grant No. ERC-2015-COG-681707.*** Acknowledges financial support from DFG under under grant STA 283/16-2.**** Acknowledges financial support from DFG under under grant STA 283/16-2.‡ Acknowledges financial support from DFG Heisenberg fellowship under grant SE 2466/1-1.

Note:

35th International Symposium on Lattice Field Theory

action: complex
Langevin equation: complex
model: lattice
lattice field theory
toy model
hopping parameter expansion
SU(2)

References(23)

Figures(17)

Controlling complex Langevin dynamics at finite density

Gert Aarts
(
- Swansea U.
)
,
Lorenzo Bongiovanni
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Heidelberg U.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

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•
e-Print:
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•
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Gert Aarts
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U.
)

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•
e-Print:
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•
DOI:
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Complex Langevin: Etiology and Diagnostics of its Main Problem

Gert Aarts
(
- Swansea U.
)
,
Frank A. James
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

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•
e-Print:
- 1101.3270
•
DOI:
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Complex Langevin dynamics and zeroes of the fermion determinant

Gert Aarts
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Bergische U., Wuppertal (main)
)
,
Ion-Olimpiu Stamatescu
(
- U. Heidelberg, ITP
)

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•
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•
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Stability of complex Langevin dynamics in effective models

Gert Aarts
(
- Swansea U.
)
,
Frank A. James
(
- Regensburg U.
)
,
Jan M. Pawlowski
(
- Heidelberg U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Heidelberg U.
)

et al.

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•
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•
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Gauge cooling in complex Langevin for QCD with heavy quarks

Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Denes Sexty
(
- Heidelberg U.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U.
)

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•
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•
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Argument for justification of the complex Langevin method and the condition for correct convergence

Keitaro Nagata
(
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Shinji Shimasaki
(
- Keio U. and
- KEK, Tsukuba
)

- Phys.Rev.D 94 (2016) 11, 114515
•
e-Print:
- 1606.07627
•
DOI:
- 10.1103/PhysRevD.94.114515

Gauge cooling for the singular-drift problem in the complex Langevin method --- an application to finite density QCD

Keitaro Nagata
(
- KEK, Tsukuba
)
,
Hideo Matsufuru
(
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Shinji Shimasaki
(
- Keio U. and
- KEK, Tsukuba
)

- PoS LATTICE2016 (2016) 067
•
e-Print:
- 1611.08077
•
DOI:
- 10.22323/1.256.0067

Testing dynamic stabilisation in complex Langevin simulations

Felipe Attanasio
(
- Swansea U.
)
,
Benjamin Jäger
(
- Zurich, ETH and
- Swansea U.
)

- PoS LATTICE2016 (2016) 053
•
e-Print:
- 1610.09298
•
DOI:
- 10.22323/1.256.0053

Discussion of the loop formula for the fermionic determinant

- PoS LATTICE2016 (2016) 357
•
e-Print:
- 1611.00620
•
DOI:
- 10.22323/1.256.0357

Full QCD and QED at finite temperature and chemical potential

I. Bender
(
- Heidelberg U.
)
,
T. Hashimoto
(
- Fukui U.
)
,
F. Karsch
(
- Bielefeld U. and
- Julich, NIC
)
,
V. Linke
(
- Freie U., Berlin
)
,
A. Nakamura
(
- Heidelberg U. and
- Heidelberg, FEST
)

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•
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Roberto De Pietri
(
- Parma U. and
- INFN, Parma
)
,
Alessandra Feo
(
- Parma U. and
- INFN, Parma
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg, FEST and
- Heidelberg U.
)

- Phys.Rev.D 76 (2007) 114501
•
e-Print:
- 0705.3420
•
DOI:
- 10.1103/PhysRevD.76.114501

The QCD phase diagram in the limit of heavy quarks using complex Langevin dynamics

Gert Aarts
(
- Swansea U.
)
,
Felipe Attanasio
(
- Swansea U.
)
,
Benjamin Jäger
(
- Swansea U.
)
,
Dénes Sexty
(
- Eotvos Lorand U., Budapest, Inst. Theor. Phys. and
- Bergische U., Wuppertal (main)
)

- JHEP 09 (2016) 087
•
e-Print:
- 1606.05561
•
DOI:
- 10.1007/JHEP09(2016)087

Simulating QCD at nonzero baryon density to all orders in the hopping parameter expansion

Gert Aarts
(
- Swansea U.
)
,
Erhard Seiler
(
- Munich, Max Planck Inst.
)
,
Dénes Sexty
(
- Heidelberg U.
)
,
Ion-Olimpiu Stamatescu
(
- Heidelberg U.
)

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•
e-Print:
- 1408.3770
•
DOI:
- 10.1103/PhysRevD.90.114505

The QCD deconfinement transition for heavy quarks and all baryon chemical potentials

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•
e-Print:
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•
DOI:
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Selected inversion as key to a stable Langevin evolution across the QCD phase boundary

- EPJ Web Conf. 175 (2018) 07003
•
e-Print:
- 1707.08874
•
DOI:
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Complex Langevin for Lattice QCD at $T=0$ and $\mu \ge 0$

D.K. Sinclair
(
- Argonne
)
,
J.B. Kogut
(
- Dept. of Energy, Wash., D.C. and
- Maryland U.
)

- PoS LATTICE2016 (2016) 026
•
e-Print:
- 1611.02312
•
DOI:
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Complex Langevin Dynamics in 1+1d QCD at Non-Zero Densities

Sebastian Schmalzbauer
(
- Frankfurt U.
)
,
Jacques Bloch
(
- Regensburg U.
)

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•
e-Print:
- 1611.00702
•
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Simulating full QCD at nonzero density using the complex Langevin equation

Dénes Sexty
(
- U. Heidelberg, ITP
)

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•
e-Print:
- 1307.7748
•
DOI:
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•
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